Complex scaling : physics of unbound light nuclei and perspective

Abstract

The complex scaling method (CSM) is one of the most powerful methods of describing the resonances with complex energy eigenstates, based on non-Hermitian quantum mechanics. We present the basic application of CSM to the properties of the unbound phenomena of light nuclei. In particular, we focus on many-body resonant and non-resonant continuum states observed in unstable nuclei. We also investigate the continuum level density (CLD) in the scattering problem in terms of the Green's function with CSM. We discuss the explicit effects of resonant and non-resonant contributions in CLD and transition strength functions.

38 pages, 33 figures, to be published in Progress of Theoretical and Experimental Physics

References in corpus (13)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Roles of the tensor and pairing correlations on the halo formation in 11Li
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Resonances of 7He in the complex scaling method
• New description of four-body breakup reaction
• Systematic study of ${}^{9,10,11}$Li with the tensor and pairing correlations
• Coulomb breakup reactions of ${}^{11}$Li in the coupled-channel ${}^9$Li~+~$n$~+~$n$ three-body model
• Five-body resonances of 8He using the complex scaling method
• Decomposition of scattering phase shifts and reaction cross sections using the complex scaling method
• One-neutron removal strength of 7He into 6He using the complex scaling method
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• Mirror symmetry breaking in He isotopes and their mirror nuclei

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